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| 1 | +#include <algorithm> |
| 2 | +#include <bits/stdc++.h> |
| 3 | +#include <numeric> |
| 4 | +using namespace std; |
| 5 | + |
| 6 | +// Type definitions |
| 7 | +typedef long long ll; |
| 8 | +typedef pair<int, int> pii; |
| 9 | +typedef pair<ll, ll> pll; |
| 10 | +typedef vector<int> vi; |
| 11 | +typedef vector<ll> vl; |
| 12 | +typedef vector<pii> vpii; |
| 13 | +typedef vector<pll> vpll; |
| 14 | +typedef vector<vi> vvi; |
| 15 | +typedef vector<vl> vvl; |
| 16 | + |
| 17 | +// Macros |
| 18 | +#define nline "\n" |
| 19 | +#define all(x) (x).begin(), (x).end() |
| 20 | +#define rall(x) (x).rbegin(), (x).rend() |
| 21 | +#define sz(x) (int)(x).size() |
| 22 | +#define pb push_back |
| 23 | +#define mp make_pair |
| 24 | +#define F first |
| 25 | +#define S second |
| 26 | +#define forn(i, n) for (int i = 0; i < int(n); i++) |
| 27 | +#define forr(i, a, b) for (int i = a; i <= b; i++) |
| 28 | +#define ford(i, a, b) for (int i = a; i >= b; i--) |
| 29 | +#define elasped_time 1.0 * clock() / CLOCKS_PER_SEC |
| 30 | + |
| 31 | +// clang-format off |
| 32 | +// Debug macros |
| 33 | +#define debarr(a,n) cout<<#a<<" : ";for(int i=0;i<n;i++) cerr<<a[i]<<" "; cerr<<endl; |
| 34 | +#define debmat(mat,row,col) cout<<#mat<<" :\n";for(int i=0;i<row;i++) {for(int j=0;j<col;j++) cerr<<mat[i][j]<<" ";cerr<<endl;} |
| 35 | +#define pr(...) dbs(#__VA_ARGS__, __VA_ARGS__) |
| 36 | + |
| 37 | +// Debug template functions |
| 38 | +template <class S, class T>ostream& operator <<(ostream& os, const pair<S, T>& p) {return os << "(" << p.first << ", " << p.second << ")";} |
| 39 | +template <class T>ostream& operator <<(ostream& os, const vector<T>& p) {os << "[ "; for (auto& it : p) os << it << " "; return os << "]";} |
| 40 | +template <class T>ostream& operator <<(ostream& os, const unordered_set<T>& p) {os << "[ "; for (auto& it : p) os << it << " "; return os << "]";} |
| 41 | +template <class S, class T>ostream& operator <<(ostream& os, const unordered_map<S, T>& p) {os << "[ "; for (auto& it : p) os << it << " "; return os << "]";} |
| 42 | +template <class T>ostream& operator <<(ostream& os, const set<T>& p) {os << "[ "; for (auto& it : p) os << it << " "; return os << "]";} |
| 43 | +template <class T>ostream& operator <<(ostream& os, const multiset<T>& p) {os << "[ "; for (auto& it : p) os << it << " "; return os << "]";} |
| 44 | +template <class S, class T>ostream& operator <<(ostream& os, const map<S, T>& p) {os << "[ "; for (auto& it : p) os << it << " "; return os << "]";} |
| 45 | +template <class T> void dbs(string str, T t) {cerr << str << " : " << t << "\n";} |
| 46 | +template <class T, class... S> void dbs(string str, T t, S... s) {int idx = str.find(','); cerr << str.substr(0, idx) << " : " << t << ","; dbs(str.substr(idx + 1), s...);} |
| 47 | +template <class T> void prc(T a, T b) {cerr << "["; for (T i = a; i != b; ++i) {if (i != a) cerr << ", "; cerr << *i;} cerr << "]\n";} |
| 48 | +// clang-format on |
| 49 | + |
| 50 | +// Constants |
| 51 | +const int MOD = 1e9 + 7; |
| 52 | +const ll INF = 1e18; |
| 53 | +const double EPS = 1e-9; |
| 54 | +const double PI = acos(-1); |
| 55 | + |
| 56 | +// Utility functions |
| 57 | +ll mod_add(ll a, ll b, ll m = MOD) { return ((a % m) + (b % m)) % m; } |
| 58 | +ll mod_sub(ll a, ll b, ll m = MOD) { return ((a % m) - (b % m) + m) % m; } |
| 59 | +ll mod_mul(ll a, ll b, ll m = MOD) { return ((a % m) * (b % m)) % m; } |
| 60 | +ll mod_pow(ll base, ll exp, ll m = MOD) |
| 61 | +{ |
| 62 | + ll res = 1; |
| 63 | + base %= m; |
| 64 | + while (exp > 0) |
| 65 | + { |
| 66 | + if (exp & 1) |
| 67 | + res = mod_mul(res, base, m); |
| 68 | + base = mod_mul(base, base, m); |
| 69 | + exp >>= 1; |
| 70 | + } |
| 71 | + return res; |
| 72 | +} |
| 73 | +ll mod_inv(ll a, ll m = MOD) |
| 74 | +{ |
| 75 | + return mod_pow(a, m - 2, m); // Only works if m is prime |
| 76 | +} |
| 77 | +ll mod_div(ll a, ll b, ll m = MOD) |
| 78 | +{ |
| 79 | + return mod_mul(a, mod_inv(b, m), m); |
| 80 | +} |
| 81 | + |
| 82 | +ll binpow(ll base, ll exp, ll mod = MOD) |
| 83 | +{ |
| 84 | + ll res = 1; |
| 85 | + base %= mod; |
| 86 | + while (exp > 0) |
| 87 | + { |
| 88 | + if (exp & 1) |
| 89 | + res = (res * base) % mod; |
| 90 | + base = (base * base) % mod; |
| 91 | + exp >>= 1; |
| 92 | + } |
| 93 | + return res; |
| 94 | +} |
| 95 | +/************/ |
| 96 | +void solve() |
| 97 | +{ |
| 98 | + int n; |
| 99 | + cin >> n; |
| 100 | + string s, t; |
| 101 | + cin >> s >> t; |
| 102 | + |
| 103 | + int index = n; |
| 104 | + |
| 105 | + for (int i = n - 1; i >= 0; i--) |
| 106 | + { |
| 107 | + if (s[i] != t[i]) |
| 108 | + { |
| 109 | + index = i; |
| 110 | + |
| 111 | + break; |
| 112 | + } |
| 113 | + } |
| 114 | + |
| 115 | + if (index == n) |
| 116 | + { |
| 117 | + cout << "YES" << nline; |
| 118 | + return; |
| 119 | + } |
| 120 | + |
| 121 | + int len = 0; |
| 122 | + int cnt = 1; |
| 123 | + int prev = index; |
| 124 | + int one = 0; |
| 125 | + int flagDiff = true, flagSame = false; |
| 126 | + |
| 127 | + for (int i = index; i >= 0; i--) |
| 128 | + { |
| 129 | + |
| 130 | + if (s[i] == t[i] && flagDiff) |
| 131 | + { |
| 132 | + cnt++; |
| 133 | + flagDiff = false; |
| 134 | + flagSame = true; |
| 135 | + |
| 136 | + len = (prev - i); |
| 137 | + |
| 138 | + if (len & 1 || len != (2 * one)) |
| 139 | + { |
| 140 | + cout << "NO" << nline; |
| 141 | + return; |
| 142 | + } |
| 143 | + |
| 144 | + one = (s[i] == '1'); |
| 145 | + prev = i; |
| 146 | + } |
| 147 | + else if (s[i] != t[i] && flagSame) |
| 148 | + { |
| 149 | + cnt++; |
| 150 | + flagSame = false; |
| 151 | + flagDiff = true; |
| 152 | + |
| 153 | + len = (prev - i); |
| 154 | + |
| 155 | + if (len & 1 || len != (2 * one)) |
| 156 | + { |
| 157 | + cout << "NO" << nline; |
| 158 | + return; |
| 159 | + } |
| 160 | + |
| 161 | + one = (s[i] == '1'); |
| 162 | + prev = i; |
| 163 | + } |
| 164 | + else if (s[i] == '1') |
| 165 | + one++; |
| 166 | + } |
| 167 | + |
| 168 | + len = (prev + 1); |
| 169 | + if (len & 1 || len != (2 * one)) |
| 170 | + cout << "NO" << nline; |
| 171 | + else |
| 172 | + cout << "YES" << nline; |
| 173 | +} |
| 174 | +int main() |
| 175 | +{ |
| 176 | + |
| 177 | + ios_base::sync_with_stdio(0); |
| 178 | + cin.tie(0); |
| 179 | + cout.tie(0); |
| 180 | +#ifndef ONLINE_JUDGE |
| 181 | + freopen("./outputs/input.txt", "r", stdin); |
| 182 | + freopen("./outputs/output.txt", "w", stdout); |
| 183 | + cerr.rdbuf(cout.rdbuf()); |
| 184 | +#endif |
| 185 | + |
| 186 | + int t; |
| 187 | + cin >> t; |
| 188 | + // int t = 1; |
| 189 | + while (t--) |
| 190 | + solve(); |
| 191 | + |
| 192 | + return 0; |
| 193 | +} |
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